Timeline for $\zeta$-function regularized determinants
Current License: CC BY-SA 3.0
14 events
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| Feb 24, 2018 at 15:50 | history | edited | asv | CC BY-SA 3.0 |
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| Feb 24, 2018 at 14:22 | history | edited | asv | CC BY-SA 3.0 |
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| May 26, 2017 at 10:32 | answer | added | Zurab Silagadze | timeline score: 2 | |
| May 26, 2017 at 6:29 | history | edited | asv | CC BY-SA 3.0 |
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| May 25, 2017 at 18:31 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Apr 25, 2017 at 20:24 | comment | added | paul garrett | By far not enough to be a full answer: in situations where there are analytic relations that make sense and arguably hold at other values of the continuation parameter $s$, then by the Identity Principle from complex analysis the same relation holds for the continuation. I do not know whether most of these physics-y issues fall into this category, but I know of some that do. A classic is Hadamard's "finite part" device, which simply dropped an infinity, and was shown a little later by Riesz to be a meromorphic continuation. | |
| Apr 25, 2017 at 18:15 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 26, 2017 at 17:22 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Mar 1, 2017 at 19:21 | comment | added | Sebastian Goette | $\zeta$-regularised determinants are used in the definition of analytic torsion (Ray-Singer torsion). By the Cheeger-Müller theorem, this invariant is closely related to Reidemeister torsion, which is defined using determinants of finite size. So at least in this case, the $\zeta$-regularisation is the "correct guess". | |
| Feb 24, 2017 at 17:18 | review | Close votes | |||
| Feb 25, 2017 at 9:44 | |||||
| Feb 24, 2017 at 16:11 | answer | added | Aaron Bergman | timeline score: 6 | |
| Feb 24, 2017 at 14:57 | history | edited | asv | CC BY-SA 3.0 |
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| Feb 24, 2017 at 14:51 | history | edited | asv | CC BY-SA 3.0 |
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| Feb 24, 2017 at 14:34 | history | asked | asv | CC BY-SA 3.0 |